Question

solve (6p^2- 7p+5) x p

Answer 1

Step-by-step explanation:

The first term is, 6p2 its coefficient is 6 .

The middle term is, -7p its coefficient is -7 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 6 • -5 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -7 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 3

6p2 - 10p + 3p - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

2p • (3p-5)

Add up the last 2 terms, pulling out common factors :

1 • (3p-5)

Step-5 : Add up the four terms of step 4 :

(2p+1) • (3p-5)

Answer 2

p(6p²-7p+5)

= 6p²×p -7p×p +5×p

= 6p³-7p²+5p

Hope it helps!!

Thank you ✌️